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Verified Answer :

A cylinder has volume V=pir^2h
use r=8/2=4
v=1612pi
This is true because the circle has Area pi
r^2 and it is being potruded thru a distance h to make a cylinder if you can visualize that.

Answer:

The volume of a cylinder be \(192\pi\) .

Option (B) is correct.    

Step-by-step explanation:

Formula

\(Volume\ of\ a\ cylinder = 2\pi r^{2} h\)

Where r is the radius of a cylinder .

As given

if it has a diameter of 8 and a height of 12.

\(r = \frac{8}{2}\)

r = 4 units

h = 12 unit

Putting in the formula

\(Volume\ of\ a\ cylinder = \pi\times 4\times 4\times 12\)

\(Volume\ of\ a\ cylinder = 192\pi\)                

Therefore the volume of a cylinder be \(192\pi\) .

Option (B) is correct.